The Pre-Kernel as a Tractable Solution for Cooperative Games (Record no. 51095)
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| 000 -LEADER | |
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| fixed length control field | 03383nam a22004935i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-642-39549-9 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200420211748.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 131023s2014 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783642395499 |
| -- | 978-3-642-39549-9 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 519.3 |
| 100 1# - AUTHOR NAME | |
| Author | Meinhardt, Holger Ingmar. |
| 245 14 - TITLE STATEMENT | |
| Title | The Pre-Kernel as a Tractable Solution for Cooperative Games |
| Sub Title | An Exercise in Algorithmic Game Theory / |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XXXIII, 242 p. 8 illus., 3 illus. in color. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Theory and Decision Library C, Game Theory, Social Choice, Decision Theory, and Optimization, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Introduction -- Some Solution Schemes and Game Properties -- The Shapley Value and (Pre-Kernel) as a Fairness Concept -- Fair Division in Cournot Markets -- Some Preliminary Results -- A Pre-Kernel Characterization and Orthogonal Projection -- Characterization of the Pre-Kernel by Solution Sets -- Algorithms for Computing the Pre-Kernel -- An Upper Dimension Bound of the Pre-Kernel -- Concluding Remarks. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This present book provides an alternative approach to study the pre-kernel solution of transferable utility games based on a generalized conjugation theory from convex analysis. Although the pre-kernel solution possesses an appealing axiomatic foundation that lets one consider this solution concept as a standard of fairness, the pre-kernel and its related solutions are regarded as obscure and too technically complex to be treated as a real alternative to the Shapley value. Comprehensible and efficient computability is widely regarded as a desirable feature to qualify a solution concept apart from its axiomatic foundation as a standard of fairness. We review and then improve an approach to compute the pre-kernel of a cooperative game by the indirect function. The indirect function is known as the Fenchel-Moreau conjugation of the characteristic function. Extending the approach with the indirect function, we are able to characterize the pre-kernel of the grand coalition simply by the solution sets of a family of quadratic objective functions. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| General subdivision | Mathematics. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-642-39549-9 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg : |
| -- | Imprint: Springer, |
| -- | 2014. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Computer science |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Game theory. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Economic theory. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Economics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Game Theory. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Game Theory, Economics, Social and Behav. Sciences. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Economic Theory/Quantitative Economics/Mathematical Methods. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Math Applications in Computer Science. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 0924-6126 ; |
| 912 ## - | |
| -- | ZDB-2-SBE |
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